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Environmental factors controlling soil organic carbon stability in French forest soils Laure Soucémarianadin, Lauric Cécillon, Bertrand Guenet, Claire Chenu, François Baudin, Manuel Nicolas, Cyril Girardin, Pierre Barré

To cite this version: Laure Soucémarianadin, Lauric Cécillon, Bertrand Guenet, Claire Chenu, François Baudin, et al.. Environmental factors controlling soil organic carbon stability in French forest soils. Plant and Soil, Springer Verlag, In press, .

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Environmental factors controlling soil organic carbon stability in French forest

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soils

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Laure N. Soucémarianadin1,*, Lauric Cécillon2, Bertrand Guenet3, Claire Chenu4, François

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Baudin5, Manuel Nicolas6, Cyril Girardin4 and Pierre Barré1

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1

Laboratoire de Géologie, PSL Research University, CNRS-ENS UMR8538, Paris, France

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2

Université Grenoble Alpes, Irstea, UR LESSEM, St-Martin-d'Hères, France

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3

Laboratoire des Sciences du Climat et de l’Environnement, LSCE/IPSL, CEA-CNRS-

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UVSQ, Université Paris-Saclay, Gif-sur-Yvette, France

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4

AgroParisTech-INRA, UMR ECOSYS, Thiverval-Grignon, France

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5

Sorbonne-Université/UPMC, ISTeP, Paris, France

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6

Office National des Forêts, R&D, Fontainebleau, France

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* Corresponding author: Laure Soucémarianadin, [email protected]

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Laboratoire de Géologie (UMR 8538) Ecole Normale Supérieure, 24 Rue Lhomond 75231

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Paris CEDEX 5, France; phone: +331 44 32 22 94; fax: +331 44 32 22 00

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Type: Regular article

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Abstract

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Aims

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In temperate forests, soils contain a large part of the ecosystem carbon that can be partially

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lost or gained upon global change. Our aim was to identify the factors controlling soil organic

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carbon (SOC) stability in a wide part of French forests.

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Methods

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Using a set of soils from 53 French forest sites, we assessed the effects of depth (up to 1 m),

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soil class (dystric Cambisol; eutric Cambisol; entic Podzol), vegetation types (deciduous;

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coniferous) and climate (continental influence; oceanic influence; mountainous influence) on

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SOC stability using indicators derived from laboratory incubation, physical fractionation and

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thermal analysis.

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Results

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Labile SOC pools decreased while stable SOC pool increased with depth. Soil class also

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significantly influenced SOC stability. Eutric Cambisols had less labile SOC in surface layers

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but had more labile SOC at depth (> 40 cm) than the other soil classes. Vegetation influenced

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thermal indicators of SOC pools mainly in topsoils (0–10 cm). Mountainous climate forest

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soils had a low thermal SOC stability.

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Conclusions

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On top of the expected effect of depth, this study also illustrates the noticeable effect of soil

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class on SOC stability. It suggests that environmental variables should be included when

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mapping climate regulation soil service.

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Keywords: forest soils, particulate organic matter fractionation, pedology, Rock-Eval 6, soil

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basal respiration, soil organic carbon persistence

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Abbreviations: soil organic carbon (SOC), Rock-Eval 6 (RE6), particulate organic matter

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(POM), Oxygen index (OIRE6), Hydrogen index (HI), Hydrocarbons (HC)

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Introduction

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Forest ecosystems play a central role in the global carbon (C) cycle with their high potential

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for atmospheric CO2 sequestration (Intergovernmental Panel on Climate Change 2000; Smith

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et al. 2014). About half of the terrestrial C sink is indeed located in forests (Canadell et al.

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2007) and forest soils in particular store around 398 Pg C (Kindermann et al. 2008). The

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temperate biome holds a quarter of the world’s forests (Tyrrell et al. 2012) and soils in

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temperate forests have twice as much carbon as the vegetation (Jarvis et al. 2005). Temperate

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forest soils have also constituted a C sink for over two decades (Pan et al. 2011; Tyrrell et al.

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2012) with parts of the European—and particularly French (Jonard et al. 2017)—forest soils

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being particularly efficient at sequestering C (e.g., Nabuurs et al., 2008). The contribution of

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deep soil to soil organic carbon (SOC) stocks has been previously highlighted (Jobbágy and

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Jackson 2000; Rumpel and Kögel-Knabner 2010), however there is still a lack of data on

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deep/subsoil mineral (> 30 cm depth) SOC stocks (e.g., Tyrrell et al. 2012).

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SOC is made up of very heterogeneous compounds (Amundson 2001; Trumbore 1997) with

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turnover times ranging from a few days/weeks to several centuries and, for modelling

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purposes, can be roughly divided into active (labile), intermediate and passive (persistent)

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SOC kinetic pools.

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Labile SOC is the most likely to be quickly affected by climate or land-use changes (Carter et

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al. 1998; Zhang et al. 2007), thus potentially contributing further to global warming.

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Moreover, because of the central role of the SOC labile pool in short-to medium-term nutrient

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availability and soil structural stability (Wander 2004), its evolutions could have major effects

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on biomass (food/timber/etc.) production. Conversely when considering SOC long-term

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storage and possible sequestration, soils in which most of the total SOC is stable will perform

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better than soils with a greater proportion of their total SOC as labile SOC (Jandl et al. 2007;

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Lorenz and Lal 2010; Prescott 2010). It is thus essential to determine how much labile and

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persistent SOC are present in soils.

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Despite being of such interest, there is still no standard technique to assess SOC stability but a

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set of complementary techniques are available. Respiration measurements and particulate

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organic matter (POM) quantification obtained by various methods of fractionation (density

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only / density + particle-size) (von Lützow et al. 2007) have been used for decades and are

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traditional metrics of SOC lability. Although the respired-C and POM-C fractions both

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represent a labile SOC pool, the former corresponds to a smaller SOC pool with a shorter

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mean residence time (usually < 1 year for temperate in-situ conditions) (Feng et al. 2016)

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while the latter corresponds to a larger SOC pool with a longer mean residence time (usually

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< 20 year for temperate conditions (e.g., Balesdent 1996; Trumbore et al. 1996). This longer

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residence time may result from interactions with the soil structure; part of the POM-C fraction

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being occluded in micro-aggregates and protected from microbial respiration for longer time

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scales (Six et al. 2002). The mean residence time of the POM-C fraction can also exceed 20

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years, especially in cold and mountainous areas (Leifeld et al. 2009) or in areas affected by

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wildfires where the POM-C fraction may contain large amounts of pyrogenic carbon with

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residence time in soils greater than the mean residence time of total SOC. Nevertheless, it has

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been shown that the POM-C fraction of temperate and mountainous soils of agroecosystems

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correspond roughly to the resistant material pools (RPM) of the RothC model (Zimmerman et

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al. 2007), which has a turnover rate of 3 years (Coleman and Jenkinson 1999). In this paper,

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the respired-C fraction will be referred to as the highly-labile SOC pool and the POM-C

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fraction will be termed labile SOC pool.

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Thermal analysis techniques have also been used to characterize soil organic matter (SOM)

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stability (e.g., Plante et al. 2009). Among them, Rock-Eval 6 (RE6) analysis has shown

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promising results in the determination of SOM biogeochemical stability (Barré et al. 2016;

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Gregorich et al. 2015; Saenger et al. 2015; Sebag et al. 2016). RE6-derived parameters are

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reliable indicators of the stable SOC pool (Barré et al. 2016; Cécillon et al. 2018) and can be a

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useful complement to the aforementioned usual indicators of the labile SOC pool

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(Soucémarianadin et al. 2018). Specifically, one RE6-derived parameter, T50_HC_PYR, which

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corresponds to the temperature at which 50% of the hydrocarbons released as pyrolysis

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effluents during SOM pyrolysis have evolved, was linked to the highly-labile and the labile

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SOC pools (Gregorich et al. 2015; Soucémarianadin et al., 2018). In French forest soils,

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T50_HC_PYR was shown to be strongly and negatively correlated to the POM-C fraction but not

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to the respired-C fraction (Soucémarianadin et al. 2018). T50_HC_PYR could thus be used as an

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indicator of the labile SOC pool defined above, similarly to the POM-C fraction. Another

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RE6-derived parameter, the temperature at which 50% of the CO2 resulting from SOM

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thermal oxidation has evolved (T50_CO2_OX) was positively related to an increasing proportion

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of persistent SOC (Barré et al. 2016; Cécillon et al. 2018) and to a POM-C depletion in

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temperate forest soils (Soucémarianadin et al. 2018). T50_CO2_OX could thus be used as an

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indicator of the stable SOC pool with mean residence times greater than several decades (>

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50–100 years; Cécillon et al. 2018).

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Few studies have assessed the factors controlling SOC stability over large areas. Several

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recent studies have highlighted the importance of parent material and soil type on SOC

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content and stability, SOC in deep soil layers being generally more stable compared to surface

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SOC (Barré et al. 2017; Mason et al. 2016; Mathieu et al. 2015; Mulder et al. 2015). Camino-

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Serrano et al. (2014) reported a larger highly labile SOC pool (based on concentrations of

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dissolved organic carbon; DOC) in soils types characterized by a very acidic pH than in more

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basic soils, especially in the subsoil layers below 20 cm depth. Considering croplands and

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grasslands in Germany, Vos et al. (2017) showed that sandy soils had a larger labile SOC pool

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(POM-C fraction) than soils with finer texture.

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Land cover and vegetation type have also been shown to strongly control SOC stability.

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Wiesmeier et al. (2014) found lower proportions of stable SOC pool in Bavarian forests

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compared to grasslands or croplands, confirming results across Europe that showed that

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afforestation of cropland and grassland generally decreased SOC stability (Poeplau and Don

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2013). In the temperate forests of Bavaria, vegetation type was also shown to control SOC

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stability, coniferous forests having higher labile SOC proportions than deciduous and mixed

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forests (Wiesmeier et al. 2014). Similar results were obtained for the highly labile SOC pool

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with lower dissolved organic carbon concentrations in broadleaved forests than coniferous

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forests (Camino-Serrano et al. 2014). Variations of soil respiration were also observed at the

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species level (e.g., three species of oaks; You et al. 2016).

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Regarding climate, both global and more local studies have highlighted the strong positive

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relationship with precipitation and the negative effect of temperature on SOC quantity

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(Jobbágy and Jackson, 2000; Paul et al., 2002; Callesen et al., 2003; Wiesmeier et al. 2013).

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Labile OM and particularly the POM-C fraction, has been shown to dominate in soils located

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at higher elevations and experiencing colder mean annual temperatures (e.g., Leifeld et al.

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2009; Sjögersten et al. 2011). Considering over 300 forested sites, higher DOC concentrations

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(highly labile SOC pool) were found in temperate sites than boreal and tropical sites (Camino-

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Serrano et al. 2014). To the exception of the work of Wiesmeier et al. (2014), we are not

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aware of large scale studies that would consider both the highly labile, labile and stable SOC

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pools and devoted to forest soils, despite their large SOC stocks.

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The objectives of the study were thus to assess the importance of various environmental

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factors, soil depth, soil class, vegetation type and climate class in controlling the stability of

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SOC in forest soils. To this purpose, we used a set of complementary techniques, namely the

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Rock-Eval 6 thermal analysis, POM separation by size and density and a laboratory 10-week

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incubation, and applied them to a large set of French forest soil samples that covers a large

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pedoclimatic variability, a wide tree species diversity and includes deep samples (up to 1

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meter).

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We hypothesized that 1/ SOC stability would vary with depth with surface soil layers

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containing more labile SOC while deep soil layers would contain more stable SOC; 2/

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vegetation type would influence SOC stability mostly in surface soil layers (with higher rates

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of C input from plants), SOC being more labile in topsoils of coniferous forests; 3/ soil class

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would influence SOC stability mostly in medium/deep soil layers (below 20 cm); and 4/

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climate would influence SOC stability and SOC in mountainous plots would be more labile.

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Material and methods

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a. Sites and soil samples

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We considered forest mineral soil samples from 53 permanent forest sites of the French

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national network for the long term monitoring of forest ecosystems (‘‘RENECOFOR’’),

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established in 1992 (Ulrich 1995) by the National Forest Service (ONF;

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http://www.onf.fr/renecofor) as a part of the European ICP-FORESTS (http://icp-forests.net/)

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level 2 network (Fig. 1a). Our selected sites are variable in terms of climate (continental 7

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influence; oceanic influence; mountainous influence; with mean annual precipitation MAP

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and mean annual temperature MAT ranging between 703–1894 mm and 4.8–12.3 °C

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respectively for the 1971–2000 period), soil type with a class constituted of soils related to

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entic Podzols, another class constituted of eutric and epileptic Cambisols as well as Calcisols

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and a last class constituted of dystric and hyperdystric Cambisols (IUSS Working Group

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2015) and forest vegetation with coniferous [silver fir (Abies alba Mill.); Norway spruce

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(Picea abies (L.) H. Karst.); European larch (Larix decidua Mill.); Scots pine (Pinus

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sylvestris L.)] and deciduous [beech (Fagus sylvatica L.); sessile (Quercus petraea (Matt.)

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Liebl.) and/or pedunculate oaks (Quercus robur L.)] stands. Stands are even-aged.

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At each site, samples representing five soil layers were obtained (0–10 cm, 10–20 cm, 20–40

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cm, 40–80 cm and 80–100 cm; Fig. 1b). Samples of the first three top soil layers were

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collected, at each depth, as 5 (replicates; pooled together on site) × 5 (sub-plots) sampling

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points over the 5000 m2 central plot, by progressively digging a 50 cm wide soil profile

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(Jonard et al. 2017; Ponette et al. 1997). This sampling campaign took place between 2007

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and 2012. Samples of the two deeper soil layers were taken from two soil pits located just

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outside the central plot and collected in 1994–1995 (Brêthes et al. 1997).

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Bulk soils were air-dried and stored in plastic buckets right after sampling. One liter of soil of

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each layer was retrieved for this study by isovolumetrically pooling the samples of the 5

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subplots (200 mL each) for the first three layers (0–40 cm) and the 2 faces of the 2 soil pits

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(250 mL each) for the two deepest layers (40–100 cm). The pooled samples were sieved at 2

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mm before analysis.

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b. Elemental analysis

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Bulk < 2 mm-sieved soil samples were ground (< 250 µm; ultra-centrifugal mill ZM 200,

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Retsch Gmbh) and organic carbon and total nitrogen concentrations were determined by dry

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combustion with an elemental analyzer (CHN NA 1500, Carlo Elba). Samples with

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carbonates (total CaCO3 = 3.5–835 g·kg−1) were first decarbonated following the same

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protocol as Harris et al. (2001). Briefly, 30 mg of ground samples were weighed in 5 mm × 9

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mm silver boats followed by the addition of 50 μL of distilled water. The boats were put in a

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glass bell jar, next to a beaker containing 100 mL of concentrated HCl (12 mol·L−1). The air

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in the jar was evacuated and samples let to sit in this HCl-saturated atmosphere to allow the

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acid to dissolve water and hydrolyze the carbonates for 8 h. Then, the decarbonated samples

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were dried at 60 °C in the silver boats for at least 48 h. Silver boats were further placed in 10

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mm × 10 mm tin boats and analyzed for C and N.

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POM fractions (see subsection d) were ground with a ball mill (mixer mill MM 200, Retsch

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Gmbh) or a mortar and pestle when the sample mass was less than 0.05 g. Carbon

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concentration was determined as for the bulk soil.

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c. Respiration test

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For each sample, 20 g of 2 mm-sieved soil were transferred in a 120 mL glass-flask and re-

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humected at pF 2.5 (−0.033 MPa), which had been previously determined using a 5 Bar

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pressure plate extractor (#1600, Soilmoisture Equipment Corp.). The flasks were fitted with

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aluminum seals with PTFE-faced silicone septa to allow for headspace gas sampling and

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placed inside an incubator (AE240 BIO EXPERT, Froilabo SAS) kept at 20 °C for 10 weeks

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following a two-week period pre-incubation to allow the samples microbial activity to

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stabilize (data not included).

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Headspace gases were sampled at 1 to 2-week intervals during the 10-week incubation period

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and CO2 concentrations were determined using an Agilent 490 micro-gas chromatograph

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equipped with the OpenLAB Chromatography Data System EZChrom software.

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When CO2 concentrations had reached 2.5–3% or was expecting to do so before the next

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measurement, and/or when the cap had been pierced with the needle four times, flasks were

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opened and flushed with fresh and moist air to return CO2 concentrations to ambient levels to

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avoid anoxia (while maintaining the moisture content), before returning them to the incubator.

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The CO2 released during the incubation experiment was expressed as the cumulated soil

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microbial respiration rate (basal respiration) from the initial SOC content over the 10-week

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period, or the 10-week mineralizable SOC (respired-C) and reported as a percentage of total

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SOC to account for differences in the C content of the various layers and sites. Respired-C

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was used as indicator of the highly labile SOC pool with mean residence time below 1 year.

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d. Particle size and density SOC fractionation

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To isolate the particulate organic matter (POM) fraction, samples were first dried at 50 °C for

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24 h before weighing 25 g and transferred them in polyethylene (PE) 250 mL flasks. We then

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added 180 mL of 0.5% sodium hexametaphostate solution and ten 5 mm-diameter glass beads

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before shaking the samples overnight (50 rpm; 16 h) on an overhead shaker (Reax 2,

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Heidolph). Samples were thoroughly rinsed over a 50-µm mesh with deionized water. The

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sand fraction was then transferred back to a dry PE flask with a sodium polytungstate (SPT)

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solution of density = 1.6  0.03 g·cm−3 (Crow et al. 2007; Golchin et al. 1994) and solution

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was added up to around 180 mL. The flasks were shaken overhead by hand 10 times and

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samples were left overnight to settle down after the cap of the flask was rinsed with the SPT

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solution. The floating material was collected with a spatula and placed over a 50-µm mesh

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sieve. If necessary some SPT solution was added back to the flask and the previous step was

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repeated. This time, samples were placed in a centrifuge for 30 minutes to accelerate the

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separation (2750 rpm or 1250 g). The floating material was again collected with the spatula or

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pipetted depending on the amount left. This step was repeated if the light fraction was

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abundant. If not, samples were left to settle down overnight before one last collection. The

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POM fraction on the sieve was thoroughly rinsed with deionized water throughout the whole

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process. The sieves and fractions were then placed in the oven at 50 °C for 24 h before being

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weighed. To account for differences in the C content of the different samples, we calculated

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the proportion of OC in the POM fraction (POM-C), expressed as a percentage of total SOC.

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POM-C was used as indicator of the labile SOC pool with mean residence time generally up

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to 20 years.

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e. Thermal analysis: Rock-Eval 6

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The thermal analysis of the samples was performed with a Rock-Eval 6 turbo device (Vinci

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Technologies, France). Details about the equipment have been previously published (Behar et

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al. 2001). We adapted the procedure developed for the analysis of SOM by Disnar et al.

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(2003). Briefly, about 60 mg of ground sample were exposed to two consecutive thermal

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treatments, first in a pyrolysis oven (200–650 °C; thermal ramping rate of 30 °C·min−1; under

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N2 atmosphere) then in a combustion oven (300–850 °C; thermal ramping rate of

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20 °C·min−1; under laboratory air atmosphere). At the beginning of the pyrolysis, there was an

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isothermal step (at 200 °C) during ≈ 200 seconds during which the free hydrocarbons (HC)

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were thermovaporized (S1 peak). The pyrolysis effluents (mostly HC) were detected and

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quantified with flame ionization detection, while CO and CO2 were quantified by infrared

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detection during both the pyrolysis and oxidation stages (Online Resource 1).

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Two standard RE6 parameters describing SOC bulk chemistry were determined: the hydrogen

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and oxygen indices (HI and OIRE6). The HI index corresponds to the amount of hydrocarbons

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formed during thermal pyrolysis of the sample (HC evolved between 200 and 650 °C minus

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the S1 peak) divided by the total SOC content of the sample and is expressed in mg HC·g−1

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SOC. It describes the relative enrichment/depletion of SOC in hydrogen-rich moieties. The

11

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OIRE6 index describes the relative oxidation status of SOC. It was calculated using the

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equation proposed by Lafargue et al. (1998):

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OIRE6 = 16 / 28 × OICO + 32 / 44 × OICO2

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Where OICO2 corresponds to the CO2 yielded during thermal pyrolysis of the sample between

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200 and 400 °C divided by the total SOC of the sample and OICO corresponds to the CO

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yielded during thermal pyrolysis between 200 and 400–650 °C (wherever a minimum of CO

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production is observed; in the absence of a minimum, the default upper-limit temperature is

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set at 550 °C) divided by the total SOC of the sample. Thus OIRE6 is expressed in mg O2·g−1

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SOC.

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We derived two additional RE6 parameter describing the thermal stability of SOC: (i)

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T50_HC_PYR, the temperature at which 50% of the HC resulting from the SOM pyrolysis had

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evolved and (ii) T50_CO2_OX, the temperature at which 50% of the CO2 resulting from the SOM

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oxidation had evolved. The upper limit temperature for the integration of this signal was set at

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611 °C to obtain a total CO2 signal evolved from pure OM without interference of carbonates.

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T50_HC_PYR was used as an indicator of the labile SOC pool with mean residence time

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generally up to 20 years (negative correlation with the labile SOC pool according to

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Gregorich et al. (2015) and Soucémarianadin et al. (2018)), while T50_CO2_OX was used as an

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indicator of the stable SOC pool with mean residence time typically greater than 50–100

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years, following Barré et al. (2016) and Cécillon et al. (2018). Signal processing of the RE6

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thermograms, i.e., signal integration and calculation of T50_HC_PYR and T50_CO2_OX, was

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performed with the R environment software v.3.3 (R Core Team 2016) using the hyperSpec

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(Beleites and Sergo 2015) and pracma (Borchers 2015) R packages.

(equation 3)

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f. Calculations and statistical analyses

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For the respiration test, samples with very low C content (< 0.2%) were not considered as the

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C respired during the incubation period was too close to the limit of detection for reliable

297

determination. For the thermal analysis, we used a C content threshold of 0.1% and manually

298

inspected the pyrolysis thermograms for samples with 0.1% ≤ C content ≤ 0.25% to make

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sure of the validity of the RE6 data (by assessing the shape of the signal). This resulted in the

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selection of n = 46 / 50 and n = 31 / 33 samples for the soil layers 40–80 cm and 80–100 cm

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and the two methods respectively, leading to a total n = 236 for respiration test and n = 242

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for RE6 (Fig. 1b). Because POM fractionation is time-consuming, we analyzed only the soil

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layers 0–10 cm and 40–80 cm (Fig. 1b). At two sites, soil was too shallow (< 40 cm) and no

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sample was therefore collected for the 40–80 cm layer, and we used the same C threshold as

305

for the RE6 to select the POM samples, which lead to n = 103. Out of the 236 samples

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considered for the respiration test, 35 had a CaCO3 content over 5% (5.2–82.0%). We tested

307

the correlation between respired-C and CaCO3 content and, as it was not significant, decided

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to proceed with the statistical analysis with all the samples.

309

Basic soil parameters (pH, texture, cation exchange capacity) were previously published in

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Ponette et al. (1997). Average values are reported in Table 1 as well as the C content and C/N

311

ratio measured on the composite samples from this study. Because we used isovolumetric

312

pooled sampled, we saw appropriate to use average values of the 5 replicates × 5 sub-plots.

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This was confirmed by the results we obtained for the C content (Online Resource 2).

314

Relationships between the indicators of SOC stability and soil physico-chemical properties as

315

well as climatic data (MAT and MAP) were estimated using Spearman rank correlation as the

316

data did not meet the assumption of normality. Correlations were also performed on different

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sets of samples for the different indicators (233 samples were included for the respiration test,

318

242 for the RE6 comparison and 103 for the POM fractionation).

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A principal component of analysis (PCA) was performed to illustrate linear relations between

320

the indicators derived from the 3 methods at two different depths: 0–10 cm and 40–80 cm.

321

For that purpose, data were log-transformed, centred and scaled. To determine the number of

322

principal components to select, we looked at the percentage of the total variance explained

323

and used a scree plot and Kaiser’s criterion. We projected the physico-chemical and climatic

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variables on the circle of correlations to see if any of those was associated with either of the

325

principal components and could thus be associated with SOC stability.

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The statistical analysis to determine the driving factors of SOC stability was performed in two

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steps: first over the complete soil profile and then on each soil layer individually. We used

328

multivariate models to assess the effects of the different environmental factors on the RE6-

329

based parameters and respiration test and POM fractionation results. For this “analysis by soil

330

profile”, we used linear mixed models introducing a random intercept for each site (≈ to treat

331

“site” as random effect) to take into account that the different layers constituted repeated

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measures (increasing depth within a same RENECOFOR site). To do so we added the

333

compound symmetry structure, which is similar to the variance structure of random-intercept-

334

only model, to a generalized least squares function (that fits a linear model using generalized

335

least squares; (Pinheiro et al. 2016)). Model selection was then implemented with a top-down

336

strategy. The response variables were transformed, to the exception of T50_HC_PYR and

337

T50_CO2_OX, using the Box-Cox transformation technique (log10 for POM-C and (respired-C +

338

1)), as they showed evidence of the variance increasing with the mean response. After

339

transformation, the residuals followed an approximate normal distribution.

340

To explore further the effects of soil classes, vegetation types and climatic zones within each

341

layer, we then conducted three-way analyses of variance (ANOVA) “by layer” with type II

342

analysis, when the interactions were not significant. Data were not transformed except for

343

respired-C. Multiple comparison tests were performed with Tukey's honest significant

14

344

differences (to get adjusted p-values for all comparisons) and pairwise t-test (no adjustment

345

method). All comparisons were considered significant at an alpha value () of 0.05.

346

All statistical analyses were performed using the R 3.3 statistical software (R Core Team

347

2016) with the factoextra (Kassambara and Mundt 2016), nlme (Pinheiro et al. 2016), lme4

348

(Bates et al. 2015) and car (Fox and Weisberg 2011) packages.

349

350

Results

351

a. Highly labile SOC pool: respired-C

352

Depth and soil class significantly influenced variations in soil basal respiration (respired-C)

353

across our 53 study plots. The depth × soil interaction was also included in the selected model

354

(p = 0.042; Online Resource 3). The respired-C fraction was on average 1.46  0.63% of total

355

SOC (Online Resource 4) with no significant differences among vegetation types (Fig. 3) or

356

climatic zones (Table 2). Respired-C decreased with depth (Fig. 2) but that factor was only

357

marginally significant. Soil class was not significant in the 40–80 cm layer but otherwise entic

358

Podzols had significantly lower respired-C than the two other soil classes (p = 0.0010–0.042;

359

Table 2; Fig. 4).

360 361

b. Labile SOC pool: POM-C and T50_HC_PYR

362

Only depth and soil type significantly affected variations in POM-C across our 53 study plots

363

(Online Resource 3). The labile SOC fraction contained in POM decreased by almost half

364

from the 0–10 cm layer to the 40–80 cm layer (with respective proportions of 22.6  7.3% and

365

11.5  6.2% of total SOC; Fig. 2). The analysis by layer confirmed that neither climate nor

366

vegetation significantly influenced POM-C variations (Table 2; Fig. 3). Eutric Cambisols had

15

367

significantly less POM-C than entic Podzols in the surface layer and dystric Cambisols at 40–

368

80 cm (Fig. 4; Online Resource 4).

369

Depth, vegetation type and soil class influenced variations in T50_HC_PYR, the RE6-derived

370

temperature at which 50% of the HC resulting from the SOM pyrolysis had evolved. The

371

three interactions depth × soil, depth × veg and soil × veg were also included in the selected

372

model (Online Resource 3). T50_HC_PYR significantly increased with depth (422  8 to 452 

373

13 °C at 0–10 cm and 80–100 cm, respectively; Fig. 2), illustrating the decrease of the labile

374

SOC pool with increasing depth. Eutric Cambisols had significantly higher T50_HC_PYR than

375

dystric Cambisols and entic Podzols in the surface layer but had significantly lower

376

T50_HC_PYR than the two other soil classes at 20–40 cm depth (Fig. 4; Online Resource 4).

377

Moreover, in the surface layer, samples in deciduous plots had a significantly higher

378

T50_HC_PYR than those in coniferous plots (427  9 and 417  7 °C, respectively, p < 0.001;

379

Table 2; Fig. 3).

380 381

c. Stable SOC pool: T50_CO2_OX

382

Depth, vegetation and climate induced significant variations in the temperature at which 50%

383

of the CO2 resulting from the SOM oxidation had evolved (T50_CO2_OX) across our 53 study

384

plots. The depth × climate interaction was also included in the selected model (Online

385

Resource 3).

386

T50_CO2_OX increased with depth (from 399  9 to 437  19 °C at 0–10 cm and 80–100 cm,

387

respectively; Fig. 2). Vegetation type was significant only in the top soil layers (0–40 cm)

388

with samples from coniferous plots having a lower T50_CO2_OX than those in deciduous plots

389

(395  6 °C and 405  9 °C, respectively; Fig. 3). Soil class was a significant factor both in

390

layers 0–10 cm (p = 0.0085) and 40–80 cm (p = 0.0489; Table 2) but with contrasting trend:

391

in the surface layer, eutric Cambisols had the highest T50_ CO2_OX (significantly higher than 16

392

entic Podzols) and the lowest T50_ CO2_OX in the 40–80 cm layer (significantly lower than the

393

dystric Cambisols; Fig. 4; Online Resource 4). Climate was a significant factor in all layers:

394

over the whole profile (0–100 cm), T50_ CO2_OX was lower in mountainous plots than in plots

395

located in the two other climate classes (p ≤ 0.0001–0.0159; Table 2; Fig. 5).

396 397

d. Correlations between soil and climate characteristics and the indicators of SOC stability

398

There were only a few significant and strong correlations between the indicators of SOC

399

stability and soil physico-chemical properties (Table 3). Notably POM-C and T50_HC_PYR, the

400

two indicators of the labile SOC pool, had strong and opposite correlations with HI (ρ = 0.67

401

and −0.67 respectively) and OIRE6 (ρ = −0.76 and 0.63 respectively). POM-C was also

402

positively correlated with C/N ratio (ρ = 0.61). T50_CO2_OX was negatively correlated to the C

403

content (ρ = −0.72; Table 3). Respired-C showed no strong correlation with soil or climate

404

characteristics. In our samples we observed no strong correlation for the four indicators of

405

SOC stability with soil texture, pH (although ρ = −0.54 with POM-C) or the climatic

406

characteristics (MAT or MAP; Table 3).

407

Because of the strong “depth effect” on each indicator of SOC stability, we explored the

408

evolution of these correlations within each soil layer and noticed that they also evolved with

409

depth (Online Resource 5). To describe the similarity or dissimilarity in the different

410

indicators of SOC lability, we conducted a principal component analysis (PCA) at the two

411

depths for which POM-C was available (0−10 and 40−80 cm). In the 0−10 cm layer, the first

412

two principal components (PC) explained almost 60% of the total variance (Fig. 6). PC1

413

clearly separated soil samples dominated by highly labile SOC pool from those dominated by

414

labile SOC pool associated with POM-C. Indeed, along PC1, POM-C and respired-C showed

415

moderate to strong negative and positive loadings respectively, while T50_CO2_OX had moderate

416

positive loadings (Fig. 6). T50_HC_PYR showed strong negative loadings along PC2, while it had

17

417

very weak negative loadings along PC1. Results were quite different in the 40−80 cm layer,

418

where the first two principal components (PC) explained approximately 63% of the total

419

variance (Fig. 6). In these deeper samples, PC1 tightly grouped soil samples with high

420

proportion of highly labile SOC pool (respired-C) and those with high proportion of labile

421

SOC pool associated with POM-C with strong positive loadings for both indicators along

422

PC1. T50_CO2_OX and T50_HC_PYR had both strong positive loadings along PC2, while they had

423

very weak loadings along PC1.

424

SOC content was not related to any of the indicators of SOC stability in the surface layer,

425

while it was moderately and negatively correlated with POM-C, respired-C and T50_CO2_OX in

426

the deep layer (Fig. 6; Online Resource 5). In the surface layer, pH was associated with

427

positive values on the first PC (high respired-C), while sand content and soil C/N ratio were

428

associated with negative values on the first PC (high POM-C; Fig. 6; Online Resource 5). HI

429

and OIRE6 were well correlated to the indicators of highly labile and labile SOC pools,

430

specifically in the surface layer. Correlations of the physico-chemical variables with POM-C

431

were slightly lower at depth (Online Resource 5), but below 20 cm depth, all these

432

correlations with T50_HC_PYR and respired-C (directly with the indicators or with the PCs) had

433

greatly decreased or even disappeared (Online Resource 5). Conversely, T50_CO2_OX was not

434

more than weakly correlated with the physico-chemical parameters over the whole profile but

435

its positive correlation with MAT tended to be higher in deeper layers (Online Resource 5;

436

Fig.6).

437

The PCA biplot displaying the samples based on their soil class (Fig. 6) showed a difference

438

between eutric Cambisol and entic Podzol with the two first PCs in the surface layer (0–10

439

cm): samples of eutric Cambisols had higher respired-C, lower POM-C and generally higher

440

T50_HC_PYR and T50_CO2_OX than those of entic Podzols.

18

441

In the deep layer (40–80 cm), the two PCs separated samples of dystric Cambisols from

442

samples of eutric Cambisols. The former were mostly characterized by high respired-C and

443

POM-C values and high values of T50_HC_PYR and T50_CO2_OX. The latter had either high values

444

of T50_HC_PYR and T50_CO2_OX with low respired-C and POM-C or low values of T50_HC_PYR and

445

T50_CO2_OX with high respired-C and POM-C. The second PC separated samples that had more

446

stable SOC (high values on PC2) from those that had less stable SOC (low values on PC2).

447

Dystric Cambisols thus appeared as having more stable SOC than the two other soil classes

448

(Fig. 6).

449

450

Discussion

451

a. Depth is the most discriminating factor of SOC stability

452

In our study sites, depth was the most discriminating factor, affecting significantly all

453

indicators of SOC stability. Indeed, with depth, we observed consistent trends for the

454

indicators of the highly-labile (decrease of respired-C) and the labile (decrease of POM-C and

455

increase of T50_HC_PYR) SOC pools, and an opposite trend for the indicator of the stable SOC

456

pool (increase of T50_CO2_OX), verifying our first hypothesis.

457

Studies have shown a decrease in POM-C (% of total SOC) with increasing depth down to

458

20–30 cm (Hassink 1995; Schrumpf and Kaiser 2015), down to 50 cm (Diochon and Kellman

459

2009) or down to > 140 cm (Cardinael et al. 2015; Moni et al. 2010). Previous studies have

460

also reported decreasing respired-C with depth during incubations of variable duration (e.g.,

461

Dodla et al. 2012; Gillespie et al. 2014; Schrumpf et al. 2013; Wang and Zhong 2016 with 12

462

days at 22.5 °C, 20 days at 15 °C, 98 days at 25 °C, 60 days at 25 °C, respectively).

463

Variations in soil basal respiration with depth have been related with variations in C dynamics

464

(e.g., Agnelli et al. 2004; Salomé et al. 2010; Wordell-Dietrich et al. 2017).

19

465

Labile SOC content usually decreases while stable SOC increases with depth (e.g., Jenkinson

466

et al. 2008; Lorenz and Lal 2005; Mathieu et al. 2015) and this is correlated with longer SOC

467

turnover rates as exemplified by Torn et al. (1997) and Mathieu et al. (2015) who showed

468

strong effects of depth on SOC mean age.

469 470

b. Soil class as a major factor controlling SOC stability

471

Soil class had significant effects on the indicators of the highly-labile (respired-C) and labile

472

(POM-C and T50_HC_PYR) SOC pools. Contrary to our third hypothesis, these soil effects were

473

not limited to the deeper layers and were indeed present in the surface layer for all four

474

indicators of SOC stability (Table 2).

475

i) Modulation of the effect of depth by soil class

476

The effect of depth on SOC stability, i.e. the decrease of the labile SOC and concomitant

477

increase in stable SOC was modulated by the soil class. First, the surface (0-10 cm) values of

478

all SOC stability parameters varied among soil classes (Table 2; Fig. 4), surface layers of

479

eutric Cambisols being generally enriched in stable SOC compared to other soil classes. This

480

might be explained by a relative higher stabilization of SOC in the surface layer of the eutric

481

Cambisols that could be due to a faster cycling in relation to lower C/N ratios (13.2  1.5 vs.

482

18.4  4.5 for the other two classes) and higher pH (6.2  0.9 vs. 4.3  0.3 for the other two

483

classes), stimulating the mineralization of the more labile SOC and resulting in a more stable

484

SOC overall. SOC stabilisation through Ca-mediated processes (occlusion, inclusion,

485

sorption; Rowley et al., 2018) may also explain the higher SOC stability in surface layers of

486

eutric Cambisols.

487

Then the amplitude of the evolution of SOC stability with depth varied among soil classes

488

(Figure 4). Thus, the higher stability observed in the surface layer of eutric Cambisols had

489

disappeared by 20–40 cm depth. This modulation of the effect of depth by soil class could be

20

490

linked to different types of SOM moieties developed by very different pedogenetic processes,

491

eutric Cambisols showing a relatively more oxidized SOC than other soil classes (higher

492

OIRE6; specifically down to 40 cm depth). In the deep layer, dystric Cambisols were

493

characterized by high OIRE6 values, which could be linked to larger stable SOC pools in this

494

soil class, likely associated with more oxidized SOC moieties (Cécillon et al., 2018).

495

Lastly, in our sites, soil class did not significantly affect the indicator of stable SOC

496

(T50_CO2_OX; at least not for the whole profile model), and the stable SOC pool appeared

497

mostly driven by differences in MAT (specifically at depth; Fig 6; see section d. of the

498

Discussion). This result is seemingly contradictory to the findings of Mathieu et al. (2015)

499

who reported a strong influence of soil type on deep soil mean carbon age. It should be noted

500

that these authors covered a greater soil variability in their study and if we focus on the 3 soil

501

classes considered in our work, their results are similar to ours (i.e., no large difference among

502

the three soil classes).

503

ii) Soil variables explaining the pedological effect on SOC stability

504

Soil type is not often used as an explanatory factor of variations in SOC quality/stability (e.g.,

505

Wiesmeier et al. 2014) and physico-chemical properties (e.g., clay content, pH, etc.) are often

506

preferred (e.g., Tian et al. 2016). We thus wondered whether a series of physico-chemical

507

parameters could have summarized the soil class effect on SOC stability.

508

The effect of soil type on the highly-labile and labile SOC pools may be due to differences in

509

soil texture (sand content), pH or C/N ratio (Online Resource 6, Fig. 6). Indeed, a strong

510

effect of soil texture on SOC stability in the topsoil (0–10 cm) has previously been reported in

511

the literature. For instance, just like we did (POM-C in coarse-textured entic Podzols = 25.1 

512

7.6% vs. 19.2  5.6% in fine-textured eutric Cambisols; Fig. 4; Online Resource 4), several

513

studies have observed a trend of more labile SOC (expressed as POM-C or size of the

21

514

intermediate SOC pool) in coarser soils (Schiedung et al. 2017; Wiesmeier et al. 2014) or

515

directly linked to the sand fraction (Tian et al. 2016; Vos et al. 2017).

516

In our sites, respired-C was higher in fine-textured soils up to 40 cm depth and was

517

significantly lower in Podzols. Conversely, several studies have reported higher C

518

mineralization rates in sandy soils than in finer-textured soils in various contexts from boreal

519

forests through croplands in Norway and all the way to Brazil (Bauhus et al. 1998; Frøseth

520

and Bleken 2015; Schmatz et al. 2017). These opposite results could originate from various

521

sources, and specifically differences in C/N ratio. For our sites, the topsoil C/N ratio in eutric

522

Cambisols was significantly lower (13.3  1.5) than in entic Podzols (19.9  5; Online

523

Resource 4), which could affect the microbial use efficiency during the incubation (e.g.,

524

Cotrufo et al. 1995). Differences in pH could be another good explanation. Our entic Podzols

525

and eutric Cambisols had lower and higher pH than the till (≈ sandy) and clay soils from the

526

Bauhus et al. (1998) study, respectively. It has been shown that a slight increase in pH could

527

significantly increase rates of mineralization (Curtin et al. 1998).

528

All these physico-chemical variables reflect the importance of SOM stoichiometry (C/N ratio)

529

(Ågren et al. 2013; Cleveland and Liptzin 2007) and substrate accessibility (reduced

530

protection via aggregation in sandy soils or increase in dissolved OM with higher pH) for its

531

degradation (Dungait et al. 2012; Schmidt et al. 2011). However the lack of or low to

532

moderate correlations between the different indicators of SOC stability and these soil physico-

533

chemical parameters (texture and pH respectively; Table 3) suggest that there is not one

534

characteristics only responsible for the soil effect we observed or that, at least, they are not

535

valid at all depths of the soil profile as we have shown (Online Resource 5; Fig. 6). There are

536

likely complex interactions, reflecting pedogenetic processes behind this and, in that regard,

537

the soil class is integrative and goes beyond simple soil physico-chemical characteristics, and

538

is thus capable of reflecting variations in SOC stability.

22

539 540

c. Vegetation type mostly affects SOC stability in topsoils

541

In our study sites, the effect of vegetation type (coniferous forest vs. deciduous forest) on

542

SOC stability was concentrated on the surface layer (0–10 cm), thus validating part of our

543

second hypothesis. Vegetation type significantly influenced both thermal indicators of SOC

544

stability in surface soil layers while the classical indicators of the highly labile (respired-C)

545

and the labile (POM-C) SOC pools were not affected by vegetation.

546

Effects of vegetation on the labile SOC pool have been previously reported, but they were

547

mainly observed at the tree species level (Bauhus et al. 1998; Augusto et al. 2002; Hobbie et

548

al. 2007; Olsen and Van Miegroet 2010; Laganière et al. 2012; Vesterdal et al. 2012; You et

549

al. 2016). Conversely, previous studies have also reported a lack of difference in the highly

550

labile SOC pool (estimated by respired-C) of topsoils in deciduous and coniferous stands

551

(Fissore et al. 2008; Van Miegroet et al. 2005).

552

In our study sites, the surface layer (0–10 cm) of coniferous stands had more labile SOC

553

(lower T50_HC_PYR) but also less stable SOC (lower T50_CO2_OX) than in deciduous stands,

554

validating the second part of our second hypothesis. Similar findings were reported in

555

Bavarian forests, where deciduous and mixed stands showed smaller labile SOC and larger

556

stable SOC pools than coniferous stands (Wiesmeier et al. 2014).

557

Deciduous forests indeed tend to rely on a more rapid nutrient cycling between soil and plant

558

(Cole and Rapp 1981). Quideau et al. (2001) showed that oak-derived SOM has undergone

559

extensive oxidation compared with the litter, while SOM under coniferous vegetation became

560

enriched in recalcitrant alkyl C. The authors conclude that deciduous stands were

561

characterized by a high microbial activity and rapid nutrient release whereas the accumulated

562

SOM in coniferous forests had a low bioavailability. The higher pH values of the litter in

563

deciduous stands favour bioturbation and incorporation of OM in surface mineral soil,

564

whereas the more acidic coniferous litter accumulates in the organic layers (e.g., Wiesmeier et 23

565

al. 2013). These results could also be explained by lower C/N ratios in deciduous plots (e.g.,

566

Cools et al. 2014). C/N ratio in deciduous stands (15.0  2.8) were indeed lower than in

567

topsoils under coniferous (18.4  5.1) and closer to that of the microbial biomass. This

568

difference in C/N ratios between the two vegetation types was more drastic when considering

569

the plant inputs (deciduous = 46.5  9.5; coniferous = 60.9  16.8; data not shown) and high

570

C/N ratios in litter are often associated with low decomposition rates (Melillo et al. 1982;

571

Norby et al. 2001; Tian et al. 2016). This would result in a higher litter mineralization

572

potential in deciduous stands and because the highly labile/labile pool is utilized more readily

573

in these plots (higher litter C turnover), it would result in a smaller size of the labile pool in

574

deciduous stands and thus a higher T50_HC_PYR. Indeed, there was a negative and moderate

575

correlation between T50_HC_PYR and the inputs C/N ratio, but only in the top layer (Online

576

Resource 5). In the long term, the low C/N ratio of the deciduous litters could also explain the

577

higher T50_CO2_OX through higher SOC stabilization (Berg 2000). This highlights the

578

importance of the bulk chemistry of SOC inputs (Hobbie et al. 2007; You et al. 2016) for

579

SOC cycling. This difference in SOC stability (in the mineral soil) between the two

580

vegetation types has also been mentioned in the review by Augusto et al. (2015) and the

581

reasons of this difference identified as a future research need.

582

The limited effect of vegetation types in our study sites could be linked to species

583

heterogeneity within the two vegetation types and this might be an important limitation of this

584

work. We chose to consider vegetation types and not tree species to obtain a more balanced

585

design (29 plots in coniferous stands and 24 in deciduous stands; Fig. 1a) and our deciduous

586

stands included both beech and oak-dominated forests. Inter-species variations in terms of

587

their characteristics (e.g., aboveground litter composition; roots) and their effects on the soil

588

could explain, at least partially, the limited effects of the (broad) vegetation classes in this

589

study. Some studies have indeed reported an effect of tree species on both in-situ and 24

590

laboratory soil respiration rates (measured over a year) (Hobbie et al. 2007; Vesterdal et al.

591

2012). In oak stands, the respiration rate was greater than in beech stands, but similar to those

592

in spruce stands, illustrating that the deciduous/coniferous dichotomy might be masking some

593

species effects, at least on the labile SOC pool, but quite likely also on the stable SOC pool.

594 595

d. Climatic control of the stable SOC pool

596

In our study, climate effects on SOC stability were concentrated on the stable SOC pool. Soils

597

located in plots with mountainous climate had higher C content (data not shown) than those in

598

plots in regions with oceanic or continental influence. However this higher concentration was

599

not associated with climate effects on the labile SOC indicators. Nevertheless climate was a

600

strong driver of the stable SOC indicator, SOC being less stable (lower T50_ CO2_OX) in

601

mountainous plots. Our last hypothesis (SOC in mountainous plots would be more labile) was

602

thus only partially verified.

603

In Bavarian forests (Wiesmeier et al. 2014), the passive SOC pool (roughly equivalent to our

604

stable SOC pool) was negatively related to MAP, which agrees with our results as the

605

mountainous plots were the wettest (1323  297 mm) and there were negative correlations

606

between MAP and T50_CO2_OX in almost all layers (Online Resource 5). However, unlike us,

607

Wiesmeier et al. (2014) also detected a strong climate effect on the labile SOC as the latter

608

was under the control of both temperature and precipitation, and the most labile SOC was

609

found in mountainous regions. Similarly, Meier and Leuschner (2010) reported more labile

610

SOC when temperature decreased and precipitation increased, while Leifeld et al. (2009)

611

reported more POM-C at higher elevation in grasslands. In our study sites, there were no

612

more than weak correlations between our labile SOC pools and MAT and MAP, even when

613

considering individual layers (Online Resource 5). Nevertheless, it should be noted that the

614

mean elevation of our mountainous plots was 1230 m ( 280 m) while Leifeld et al. (2009)

25

615

had 5 out of their 8 sites located at ≥ 1410 m elevation. Finally, this “high elevation” effect on

616

the labile fraction, expressed as POM-C requires caution as, in mountainous regions, lower

617

MAT tend to reduce microbial activity thus favouring SOC accumulation (e.g., Tewksbury

618

and Van Miegroet 2007), even in tropical areas (Araujo et al. 2017). In cold environments, the

619

residence time of this “labile” (as very close to the litter inputs) SOC is much longer than in

620

more temperate climate (Leifeld et al. 2009). In that particular context, the relationship

621

between thermal stability and SOC residence time/turnover may also be questioned and

622

requires further study.

623

Another possible limitation of the present study is that vegetation and climate appeared to be

624

confounded factors in our design with coniferous plots being preferentially found in

625

mountainous regions: our coniferous plots had a mean elevation of 831 m ( 476 m) while it

626

was 511 m ( 413 m) in the deciduous plots. This had an incidence on the MAT especially

627

(Online Resource 6).

628 629

630

Conclusions

631

In this study, thanks to a large set of forest soil samples with contrasted SOC stability and the

632

use of several indicators, we were able to highlight the influence of four environmental factors

633

on SOC stability: depth, soil, vegetation and climate; with the degree of significance of these

634

factors (and their interactions) varying among the SOC pools.

635

Our results show that pedology is a discriminant factor of SOC stability, more than individual

636

soil physico-chemical attributes. Soil type constitutes an integrated parameter that might be an

637

efficient way to capture SOC turnover properties. Upon modification in land management that

638

would result in a decrease of C inputs to the soil, our results let suggest that the SOC of eutric

26

639

Cambisols may be less sensitive than the one of dystric Cambisols but specifically of entic

640

Podzols that may be more prone to losses.

641

To conclude, soil class, vegetation type and climatic zone all had a significant influence on

642

SOC stability at various depths in our studied French forest soils and these environmental

643

factors should thus be included in models estimating the ecosystem service of climate

644

regulation.

645 646

647

Acknowledgements

648

This work was supported by the French Environment and Energy Management Agency

649

(ADEME) [APR REACCTIF, piCaSo project] and Campus France [PRESTIGE-2015-3-

650

0008]. We thank M. Bryant, S. Cecchini, J. Mériguet, F. Savignac, and L. Le Vagueresse for

651

their technical support.

652

653

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654

Agnelli A, Ascher J, Corti G, Ceccherini MT, Nannipieri P, Pietramellara G (2004)

655

Distribution of microbial communities in a forest soil profile investigated by microbial

656

biomass, soil respiration and DGGE of total and extracellular DNA. Soil Biol Biochem. doi:

657

10.1016/j.soilbio.2004.02.004

658

Ågren GI, Hyvönen R, Berglund SL, Hobbie SE (2013) Estimating the critical N:C from

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litter decomposition data and its relation to soil organic matter stoichiometry. Soil Biol

660

Biochem. doi: 10.1016/j.soilbio.2013.09.010

661 662

Amundson R (2001) The Carbon Budget in Soils. Annu Rev Earth Planet Sci 29:535-562. doi: 10.1146/annurev.earth.29.1.535 27

663

Araujo MA, Zinn YL, Lal R (2017) Soil parent material, texture and oxide contents have

664

little effect on soil organic carbon retention in tropical highlands. Geoderma. doi:

665

10.1016/j.geoderma.2017.04.006

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subsoil carbon in a Dystric Cambisol. Geoderma. doi: 10.1016/j.geoderma.2016.08.023

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You Y, Wang J, Sun X, Tang Z, Zhou Z, Sun OJ (2016) Differential controls on soil

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carbon density and mineralization among contrasting forest types in a temperate forest

960

ecosystem. Sci Rep 6:22411. doi: 10.1038/srep22411

961 962 963

Zhang J, Song C, Wenyan Y (2007) Tillage effects on soil carbon fractions in the Sanjiang Plain, Northeast China. Soil Tillage Res. doi: 10.1016/j.still.2006.03.014 Zimmermann M, Leifeld J, Schmidt MWI, Smith P, Fuhrer J (2007) Measured soil organic

964

matter fractions can be related to pools in the RothC model. Eur J Soil Sci 58:658-667. doi:

965

10.1111/j.1365-2389.2006.00855.x

966

40

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Figures captions

968

Fig. 1 (a) Location of the 53 study sites from the French national network for the long term

969

monitoring of forest ecosystems (RENECOFOR) and their repartition among the climatic

970

zones and vegetation types and soil classes; (b) Number of samples by depths and analyses

971

performed to assess SOC stability

972 973

Fig. 2 Evolution of respired-C, POM-C, T50_HC_PYR and T50_CO2_OX in the five soil layers of the

974

53 RENECOFOR plots. The horizontal black lines show the medians. The bottom and top of

975

the box show the first and third quartiles, respectively. n= 53 for layers 0–10 cm, 10–20 cm

976

and 20–40 cm; n = 50 (RE6 and POM-C) or 46 (respired-C) for layer 40–80 cm; n = 33 (RE6)

977

or 31 (respired-C) for layer 80–100 cm. For each indicator, different letters indicate

978

significant differences between the means of the different layers

979 980

Fig. 3 Variations in the indicators of SOC stability respired-C and POM-C (top) and thermal

981

indicators (T50_HC_PYR and T50_CO2_OX; bottom) as a function of vegetation type in the surface

982

(0–10 cm) layer. The horizontal black line shows the median for each vegetation type. The

983

bottom and top of the box show the first and third quartiles, respectively. n = 29 and 24 for

984

coniferous and deciduous plots respectively. For each indicator, different letters indicate

985

significant differences between the means of the different layers

986 987

Fig. 4 Variations in indicators of SOC stability respired-C and POM-C (top) and thermal

988

indicators (T50_HC_PYR and T50_CO2_OX; bottom) as a function of depth for all three soil classes.

989

n= 53 for layers 0–10 cm, 10–20 cm and 20–40 cm; n = 50 (RE6 and POM-C) or 46

990

(respired-C) for layer 40–80 cm; n = 33 (RE6) or 31 (respired-C) for layer 80–100 cm

991

41

992

Fig. 5 Variations in the thermal indicator T50_CO2_OX (stable SOC pool) in the three climatic

993

zones as a function of depth

994 995

Fig. 6 Principal components analysis (PCA) loadings plots (top) and biplots (bottom) of the 4

996

indicators of SOC stability (red arrows) along the first two principal component axes (PC1

997

and PC2) for two layers: (left) 0–10 cm (n = 53) and (right) 40–80 cm (n = 46). In the loading

998

plots, the physico-chemical parameters and climatic data (black arrows) were projected in the

999

circle of correlations for information. In the biplots, the samples were represented by their soil

1000

class and the 95% ellipses for the three soil classes were added

42

table 1

Click here to download table Table 1.docx

Table 1 Mean (and standard deviation) of SOC content, C/N ratio of the bulk soil and RE6-derived bulk chemistry parameters (HI, OIRE6), as well as the averaged values derived from Ponette et al. (1997) and Jonard et al. (2017) for the texture, pHwater and the cationic exchange capacity, in the five soil layers for the 53 RENECOFOR plots HI OIRE6 mg HC / mg O2 / g % g SOC) SOC (composite sample, determined in this study) 5.1 (2.7) 16.9 (4.5) 276 (77) 225 (37) 2.9 (2.0) 16.4 (4.9) 218 (72) 255 (46) 1.8 (1.4) 14.8 (4.3) 170 (57) 299 (68) 0.8 (0.8) 11.6 (3.8) 133 (33) 437 (137) 0.6 (0.5) 9.7 (4.0) 122 (27) 525 (145) SOC

depth (cm) 0–10 10–20 20–40 40–80 80–100 a

n 53 53 53 50 33

C/N ratio

clay

silt

sand

%

%

%

pHwater

CECa cmol+/kg

(averaged from Ponette et al., 1997 and Jonard et al. 2017) 23 (14) 36 (18) 42 (29) 4.9 (1.0) 13.3 (13.1) 21 (13) 37 (18) 42 (29) 5.1 (1.1) 10.9 (12.7) 20 (14) 36 (18) 43 (28) 5.4 (1.3) 10.0 (12.5) 20 (15) 32 (17) 48 (27) 5.8 (1.4) 7.3 (8.5) 22 (17) 34 (16) 44 (27) 6.1 (1.6) 7.5 (8.3)

determined by extraction of the exchangeable cations with barium chloride (ISO 11260:1994)

table 2

Click here to download table Table 2.docx

Table 2 Results (p-value) of the 3-way ANOVA (analysis by layer) with the factors soil class (soil), vegetation type (veg) and climatic zone (clim) and their interactions for each response variable obtained from respiration test (respired-C), POM fractionation (POM-C) and RE6 thermal analysis (T50_HC_PYR; T50_CO2_OX). If the response variable needed to be transformed to conform to the assumptions of ANOVA, the transformation that was used is specified. Significance is indicated as follows: ***: p < 0.001; **: p < 0.01; *: p < 0.05; .: p < 0.1; NS = not significant Factor

Interaction

Respiration test depth (cm) variable 0–10 respired-C 10–20 log10 (respired-C + 1) 20–40 log10 (respired-C + 1) 40–80 log10 (respired-C + 1) 80–100 log10 (respired-C + 1)

soil ** *** ** NS *

veg NS NS NS NS NS

clim NS NS NS NS NS

soil × veg NS NS NS NS NS

soil × clim NS NS NS NS NS

veg × clim NS NS NS NS NS

POM fractionation depth (cm) variable 0–10 POM-C 40–80 POM-C

soil * *

veg NS NS

clim NS NS

soil × veg NS NS

soil × clim NS NS

veg × clim NS NS

soil *** NS * NS NS ** NS NS * NS

veg *** NS NS NS NS *** * * NS NS

clim NS NS NS NS NS ** ** ** *** *

soil × veg NS . NS NS NS NS NS NS NS NS

soil × clim . NS NS NS NS NS * * NS NS

veg × clim NS NS NS NS NS NS NS NS NS NS

Rock-Eval thermal analysis depth (cm) 0–10 10–20 20–40 40–80 80–100 0–10 10–20 20–40 40–80 80–100

variable T50_HC_PYR T50_HC_PYR T50_HC_PYR T50_HC_PYR T50_HC_PYR T50_CO2_OX T50_CO2_OX T50_CO2_OX T50_CO2_OX T50_CO2_OX

table 3

Click here to download table Table 3.docx

Table 3 Spearman correlation coefficients between the RE6-derived temperature parameters (T50_HC_PYR and T50_CO2_OX), the 10-week mineralizable SOC (respired-C), the proportion of SOC in the POM fraction (POM-C) and the physico-chemical properties of the samples (C content; C/N ratio; HI; OIRE6; texture, clay and sand content; pH; cationic exchange capacity, CEC) and climatic data of the plots (mean annual precipitation, MAP; mean annual temperature, MAT). Significance is indicated as follows: ***: p < 0.001; **: p < 0.01; *: p < 0.05. The high (> 0.6) correlations are marked in bold. n = 242 for the RE6 parameters, n = 236 for respired-C and n = 103 for POM-C

SOC C/N ratio HI OIRE6 Clay Sand pHwater CEC MAP MAT

T50_HC_PYR −0.58*** −0.34*** −0.67*** 0.63*** −0.06 0.02 0.31*** −0.33*** 0.06 0.01

T50_CO2_OX −0.72*** −0.43*** −0.53*** 0.50*** −0.03 0.10 0.33*** −0.25*** −0.20** 0.19**

respired-C 0.03 −0.13* 0.08 −0.04 0.19** −0.15* 0.23*** 0.31*** −0.16* −0.09

POM-C 0.52*** 0.61*** 0.67*** −0.76*** −0.18 0.18 −0.54*** 0.08 −0.11 −0.02

Fig. 1

Click here to download colour figure Fig1.tif

Fig. 2

Click here to download colour figure Fig2.tif

Fig. 3

Click here to download colour figure Fig3.tif

Fig. 4

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Fig. 5

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Fig. 6

Click here to download colour figure Fig6.tif

Supplementary material captions

Online Resource 1 Description of the Rock-Eval 6 thermal analysis (adapted from Baudin et al., 2017) and calculation of the two RE6-derived parameters (hydrogen index; T50_CO2_OX, the temperature at which 50% of the residual SOM was oxidized to CO2 during the oxidation phase) Baudin F, Tribovillard N, Trichet J (2017) Géologie De La Matière Organique. EDP Sciences, Lilles, France.

Online Resource 2 Correlation between C content (%) of isovolumetrically pooled samples (measured in this study as detailed in Materials and Methods subsection a) and average values of the 5 replicates × 5 subplots from RENECOFOR samples (calculated with values from Jonard et al. (2017) and Ponette et al. (1997) for samples 0–40cm and 40–100 cm, respectively) for a given soil layer (n = 242). The 1:1 line has been added in red for reference Jonard M, Nicolas M, Coomes DA, Caignet I, Saenger A, Ponette Q (2017) Forest soils in France are sequestering substantial amounts of carbon. Sci Total Environ 574:616-628 Ponette Q, Ulrich E, Brêthes A, Bonneau M, Lanier M (1997) RENECOFOR - Chimie des sols dans les 102 peuplements du réseau : campagne de mesures 1993-95. ONF, Département des recherches techniques, Fontainebleau, France

Online Resource 3 Details of models and their significant terms selected to explain variations in respired-C and POM-C, T50_HC_PYR, and T50_CO2_OX in the 53 study plots (analysis by profile). All models used a gls function (see details in the Calculations and statistical analyses section)

Online Resource 4 Mean (and standard deviation) of the indicators of labile SOC (T50_HC_PYR, POM-C; respired-C) and stable SOC (T50_CO2_OX) for each soil class in the five different layers. The total SOC content was added for reference

Online Resource 5 Table of correlations for all samples and for each layer individually between the indicators of the SOC pools and the physico-chemical properties (SOC content, C/N ratio, HI, OIRE6, texture, pH, cationic exchange capacity), the climatic data of the plots (mean annual precipitation; MAP and mean annual temperature; MAT) and the chemical properties (C/N ratio) of the inputs and humus. Significance is indicated as follows: ***: p < 0.001; **: p < 0.01; *: p < 0.05. The high (> 0.6) correlations obtained with the SOC pools indicators are marked in bold. n = 242 total; n = 53 for layers 1 to 3 and n = 50 and n = 33 for layers 4 and 5 respectively unless specified otherwise

Online Resource 6 Distribution of the mean annual precipitation (MAP) and mean annual temperature (MAT) in the 53 study sites as a function of vegetation type illustrating a bias towards coniferous stands being in wetter and colder locations. n = 29 and 24 for coniferous and deciduous, respectively

Online Resource 3 Details of models and their significant terms selected to explain variations in respired-C and POM-C, T50_HC_PYR, and T50_CO2_OX in the 53 study plots (analysis by profile). All models used a gls function (see details in the Calculations and statistical analyses section) Response variable respired-C POM-C

Predictors in final model$ soil + depth + soil × log10(respired-C + 1) depth log10(POM-C) depth + soil Transformation

Level of significance p -value soil < 0.0001; depth =0.0823; depth × soil = 0.0417 depth < 0.0001 and soil = 0.0114

T50_HC_PYR

depth + soil + veg + depth and depth × soil < 0.0001; soil = 0.1440; veg depth × soil + depth = 0.0665; depth × veg = 0.0023; soil × veg = × veg + soil × veg 0.0236

T50_CO2_OX

depth + veg + climate + depth × climate

$

all < 0.0001 except climate = 0.0272

For all models, as a preliminary inspection of the variance of a given factor showed heterogeneity among the various layers, we used a constant variance function [varIdent(form= ~ 1 | depth)], which allowed five different variances, one for each soil layer. We also used the compound symmetry structure [corCompSymm(form =~ 1|plot)], which is similar to the variance structure of a random-intercept-only model. In our case, it allowed to treat each site as random factor.

Online Resource  4 Mean (and standard deviation) of the indicators of labile (T50_HC_PYR, POM-C), very labile (respired-C) and stable SOC (T50_CO2_OX) for each soil class in the five different  layers. The basic soil physico-chemical properties (texture, total SOC content, C/N ratio and pH) were added for reference layer 0–10 cm

soil class

ALL dystric Cambisol eutric Cambisol entic Podzol 10–20 cm ALL dystric Cambisol eutric Cambisol entic Podzol 20–40 cm ALL dystric Cambisol eutric Cambisol entic Podzol 40–80 cm ALL dystric Cambisol eutric Cambisol entic Podzol 80–100 cm ALL dystric Cambisol eutric Cambisol entic Podzol 0–100 cm ALL

n 53 18 16 19 53 18 16 19 53 18 16 19 50 18 14 18 33 11 10 12 242

T50_HC_PYR (°C) T50_CO2_OX (°C) 422 420 428 417 434 434 435 433 441 444 437 443 448 449 444 450 452 450 448 458 439

(8) (8) (7) (9) (7) (8) (6) (8) (7) (8) (5) (6) (10) (7) (9) (12) (13) (11) (11) (18) (9)

399 399 403 396 408 409 410 404 418 421 417 417 431 438 424 430 437 445 427 439 419

(8) (8) (10) (8) (12) (10) (14) (11) (15) (10) (16) (17) (17) (15) (19) (18) (17) (12) (16) (22) (14)

POM-C (%  OC)

n 53 18 16 19

50 18 14 18

103

22.6 23.0 19.2 25.1 nd nd nd nd nd nd nd nd 11.5 13.3 7.8 12.5 nd nd nd nd 17.2

(7.3) (7.5) (5.6) (7.6)

(6.2) (6.3) (3.5) (6.8)

(8.8)

n 53 18 16 19 53 18 16 19 53 18 16 19 46 17 14 15 31 11 10 10 236

respired-C (µg  −1 CO2-C·µg  soil  C in %) 1.73 1.87 2.19 1.13 1.61 1.54 2.13 1.15 1.43 1.38 1.86 1.06 1.34 1.48 1.51 1.03 1.17 1.57 1.14 0.79 1.46

(0.57) (0.70) (0.62) (0.38) (0.56) (0.64) (0.74) (0.31) (0.68) (0.61) (0.84) (0.58) (0.67) (0.62) (0.75) (0.64) (0.66) (0.91) (0.59) (0.49) (0.63)

n 53 18 16 19 53 18 16 19 53 18 16 19 50 18 14 18 33 11 10 12 242

clay (%) 22 18 37 15 21 17 36 13 20 17 35 11 20 18 35 11 22 20 38 10 21

(14) (9) (11) (9) (13) (9) (11) (7) (14) (9) (13) (6) (15) (10) (18) (5) (17) (11) (19) (4) (14)

silt (%) 36 31 50 28 37 32 51 29 36 33 48 30 32 28 41 28 34 30 41 30 35

(18) (14) (13) (19) (18) (14) (11) (20) (18) (14) (12) (20) (17) (11) (13) (20) (16) (12) (12) (21) (17)

sand (%) 42 51 13 57 42 51 13 58 43 51 17 59 48 54 24 62 44 50 21 59 44

(29) (21) (20) (25) (29) (21) (17) (25) (28) (21) (17) (25) (27) (19) (25) (25) (27) (19) (23) (23) (28)

C content (%) 5.1 4.1 5.1 6 2.9 1.9 3.5 3.3 1.8 1.1 2.4 2.1 0.8 0.5 0.9 1.1 0.6 0.3 0.7 0.8 2.4

(2.7) (1.8) (1.9) (3.6) (2.0) (0.7) (1.6) (2.7) (1.4) (0.4) (1.4) (1.8) (0.8) (0.3) (0.5) (1.1) (0.5) (0.2) (0.2) (0.7) (2.4)

C/N ratio 16.9 16.8 13.3 19.9 16.4 16.3 12.4 19.8 14.8 14.8 11.3 17.7 11.6 10.5 9.3 14.6 9.7 7.2 8.4 13.1 14.2

(4.5) (3.4) (1.5) (5.0) (4.9) (3.5) (1.1) (5.4) (4.3) (3.8) (1.3) (4.3) (3.8) (3.5) (1.9) (3.4) (4.0) (1.9) (1.6) (4.6) (5.0)

pH 4.9 4.5 6.2 4.1 5.1 4.6 6.5 4.3 5.4 4.8 7.2 4.6 5.8 5.1 7.9 4.8 6.1 5.3 8.2 5.0 5.4

(1.0) (0.3) (0.9) (0.2) (1.1) (0.3) (1.0) (0.2) (1.3) (0.3) (1.0) (0.1) (1.4) (0.6) (0.6) (0.2) (1.6) (1.0) (0.6) (0.4) (1.3)

Online Resource 5 Table of correlations for all samples and for each layer individually between the indicators of the SOC pools and the physico-chemical properties (SOC content, C/N ratio, HI, OIRE6, texture, pH, cationic exchange capacity), the climatic data of the plots (mean annual precipitation; MAP and mean annual temperature; MAT) and the chemical properties (C/N ratio) of the inputs and humus. Significance is indicated as follows: ***: p < 0.001; **: p < 0.01; *: p < 0.05. The high (> 0.6) correlations obtained with the SOC pools indicators are marked in bold. n = 242 total; n = 53 for layers 1 to 3 and n = 50 and n = 33 for layers 4 and 5 respectively unless specified otherwise OIRE6 Clay pHwater C/N ratio (soil) HI Sand CEC MAP MAT C/N ratio (inputs) POM-C§ respired-C* T50_HC_PYR T50_CO2_OX SOC respired-C

0.20

T50_HC_PYR

−0.73***

−0.32***

T50_CO2_OX SOC C/N ratio (soil) HI OIRE6 Clay Sand pHwater CEC MAP MAT C/N ratio (inputs) C/N ratio (humus)

−0.56***

−0.15* 0.03 −0.13* 0.08

0.67*** −0.58*** −0.34*** −0.67***

−0.72*** −0.43*** −0.53***

0.42*** 0.58***

0.62***

−0.18 0.18

−0.04 0.19** −0.15*

0.63*** −0.06 0.02

0.50*** −0.03 0.10

−0.56*** 0.31*** −0.32***

−0.78*** −0.51*** 0.45***

−0.84*** −0.16* 0.31*** 0.14* −0.28***

−0.89***

−0.54*** 0.08 −0.11 −0.02 0.22* 0.01

0.23*** 0.31*** −0.16* −0.09 0.16* 0.38***

0.31*** −0.33*** 0.06 0.01 −0.09 −0.14*

0.33*** −0.25*** −0.20** 0.19** −0.16* −0.11

−0.22*** 0.48*** 0.36*** −0.25*** −0.07 −0.01

−0.61*** −0.31*** −0.01 −0.02 0.24*** −0.03

−0.45*** 0.59*** 0.14* 0.06 −0.06 0.12 0.13* −0.11 −0.05 −0.06 −0.08 0.10

0.44*** 0.74*** 0.14* −0.08 −0.24*** 0.12

−0.45*** −0.69*** −0.17** 0.06 0.23*** −0.14*

0.47*** 0.07 0.12 −0.22*** −0.22*** −0.60*** −0.03 −0.17** −0.24*** 0.40*** 0.18** −0.05

−0.08 −0.06

0.44***

§

*

Clay

Sand

pHwater

CEC

MAT

C/N ratio (inputs)

−0.62*** −0.72*** −0.21 0.13 0.28* −0.16

0.64*** 0.06 −0.21 −0.14 0.42**

0.39** −0.45*** −0.61*** −0.16 −0.25 0.14 −0.05

−0.06 −0.07

0.45***

0.52*** 0.61*** 0.67*** −0.76***

n = 99 LAYER 1: 0–10 cm POM-C

n = 236

respired-C

T50_HC_PYR

T50_CO2_OX SOC

C/N ratio (soil)

HI

OIRE6

respired-C

−0.29*

T50_HC_PYR

−0.44***

T50_CO2_OX SOC C/N ratio (soil) HI OIRE6 Clay Sand pHwater CEC MAP MAT C/N ratio (inputs) C/N ratio (humus)

−0.19 0.17 0.56*** 0.32*

0.13 −0.20 −0.51*** −0.43**

0.45*** −0.10 −0.55*** −0.30*

−0.28* −0.19 0.07

−0.08 −0.29*

0.67***

−0.41** −0.29* 0.32*

0.52*** 0.43** −0.41**

0.40** 0.44** −0.50***

−0.06 −0.03 −0.08

0.25 0.44** −0.32*

−0.80*** −0.70*** 0.65***

−0.91*** −0.71*** 0.75*** 0.61*** −0.65***

−0.88***

−0.35** −0.16 −0.10 −0.09 0.31* −0.04

0.62*** 0.30* 0.10 −0.30* −0.03 0.47***

0.46*** 0.35* −0.11 0.14 −0.41** −0.10

0.36** 0.00 −0.29* 0.25 −0.25 0.10

0.06 0.60*** 0.53*** −0.39** −0.07 −0.17

−0.70*** −0.60*** −0.25 0.10 0.47*** −0.07

−0.61*** 0.70*** −0.72*** 0.72*** −0.37** 0.35* 0.32* −0.30* −0.02 −0.13 −0.41** 0.34*

0.60*** 0.78*** 0.33* −0.26 −0.26 0.11

MAP

0.12

LAYER 2: 10–20 cm POM-C

respired-C

T50_HC_PYR

T50_CO2_OX SOC

C/N ratio (soil)

HI

OIRE6

Clay

Sand

pHwater

CEC

MAP

MAT

C/N ratio (inputs)

respired-C

nd

T50_HC_PYR

nd

0.00

T50_CO2_OX SOC C/N ratio (soil) HI OIRE6 Clay Sand pHwater CEC MAP MAT C/N ratio (inputs) C/N ratio (humus)

nd nd nd nd

0.02 −0.13 −0.33* −0.24

0.40** 0.08 −0.13 −0.26

−0.09 −0.04 0.14

−0.34* −0.28*

nd nd nd

0.34* 0.29* −0.29*

0.21 0.10 −0.12

−0.22 0.07 −0.05

0.37** 0.60*** −0.52***

−0.73*** −0.71*** 0.66***

−0.74*** −0.53*** 0.65*** 0.44** −0.58***

−0.88***

nd nd nd nd nd nd

0.60*** 0.27* −0.08 −0.20 0.20 0.53***

0.08 0.13 −0.06 −0.05 −0.05 −0.12

0.29* −0.01 −0.24 0.21 −0.25 −0.01

0.28* 0.73*** 0.66*** −0.47*** −0.21 −0.02

−0.62*** −0.65*** −0.20 0.12 0.32* −0.14

−0.36** −0.40** −0.17 0.25 −0.12 −0.22

0.59*** 0.76*** 0.30* −0.20 −0.26 0.14

−0.58*** −0.77*** −0.24 0.12 0.28* −0.15

0.64*** 0.10 −0.27 −0.05 0.51***

0.39** −0.42** −0.23 0.11

−0.61*** −0.25 −0.05

−0.06 −0.07

0.45***

Clay

Sand

pHwater

CEC

MAP

MAT

C/N ratio (inputs)

−0.50*** −0.76*** −0.25 0.13 0.27 −0.11

0.65*** 0.07 −0.26 0.10 0.59***

0.31* −0.35** −0.27 0.14

−0.61*** −0.25 −0.05

−0.06 −0.07

0.45***

0.60***

0.51*** 0.60*** 0.23 −0.29* 0.02 0.27*

LAYER 3: 20–40 cm POM-C

respired-C

T50_HC_PYR

T50_CO2_OX SOC

C/N ratio (soil)

HI

OIRE6

respired-C

nd

T50_HC_PYR

nd

−0.33*

T50_CO2_OX SOC C/N ratio (soil) HI OIRE6 Clay Sand pHwater CEC MAP MAT C/N ratio (inputs) C/N ratio (humus)

nd nd nd nd

0.06 −0.21 −0.27 −0.10

0.37** −0.12 0.21 −0.21

−0.41** 0.06 0.05

−0.15 0.13

nd nd nd

0.11 0.29* −0.23

−0.05 −0.22 0.21

−0.31* −0.04 0.15

0.20 0.46*** −0.48***

−0.76*** −0.74*** 0.68***

−0.65*** −0.34* 0.70*** 0.24 −0.64***

−0.90***

nd nd nd nd nd nd

0.45*** 0.19 −0.15 0.00 0.04 0.41**

−0.32* −0.30* 0.02 −0.07 0.12 −0.26

−0.15 −0.24 −0.38** 0.33* −0.16 −0.19

0.29* 0.62*** 0.72*** −0.49*** −0.26 −0.02

−0.47*** −0.59*** −0.05 0.03 0.26 −0.09

−0.11 −0.13 0.10 0.16 −0.25 −0.17

0.54*** 0.77*** 0.20 −0.16 −0.25 0.13

0.48***

0.40** 0.51*** 0.11 −0.25 0.00 0.19

LAYER 4: 40–80 cm POM-C respired-C

respired-C*

T50_HC_PYR

T50_CO2_OX SOC

C/N ratio (soil)

HI

OIRE6

Clay

Sand

pHwater

CEC

MAP

MAT

C/N ratio (inputs)

0.47***

T50_HC_PYR

−0.35*

−0.41**

T50_CO2_OX SOC C/N ratio (soil) HI OIRE6 Clay Sand pHwater CEC MAP MAT C/N ratio (inputs) C/N ratio (humus)

−0.01 −0.43** 0.30* 0.06

−0.01 −0.54*** −0.17 −0.03

0.19 0.21 0.13 −0.21

−0.42** −0.34* −0.42**

0.13 −0.08 0.16

0.11 0.03 −0.12

0.46*** −0.34* −0.25 0.04 0.33* 0.10

0.03 0.13 −0.42** 0.09 0.30* 0.29

−0.02 −0.08 0.16 0.13 −0.19 −0.27

*

LAYER 5: 80–100 cm POM-C

−0.49*** −0.21 −0.24 0.22 0.12 0.10 −0.18 −0.02 −0.45** 0.50*** −0.22 −0.29*

0.23

−0.07 0.33* −0.48***

−0.65*** −0.55*** 0.44**

−0.43** −0.06 0.04

0.62*** −0.51***

−0.90***

0.20 0.25 0.69*** −0.48*** −0.15 0.02

−0.27 −0.49*** 0.36* −0.28* 0.21 0.13

0.09 0.05 0.17 0.03 −0.08 0.01

0.28 0.52*** −0.13 0.16 −0.12 0.11

0.36* 0.80*** −0.03 0.08 −0.31* 0.00

−0.36* −0.75*** −0.12 0.01 0.26 −0.06

0.66*** −0.04 −0.15 0.01 0.37**

−0.07 −0.06 −0.26 0.15

−0.58*** −0.24 −0.04

−0.11 −0.10

0.44**

Clay

Sand

pHwater

CEC

MAP

MAT

C/N ratio (inputs)

−0.37* −0.60*** 0.10 −0.17 −0.05 −0.34

0.64*** 0.04 −0.24 −0.03 0.14

−0.24 0.03 −0.06 0.25

−0.54** −0.12 −0.06

−0.13 0.05

0.41*

n = 46

respired-C*

T50_HC_PYR

T50_CO2_OX SOC

respired-C

nd

T50_HC_PYR

nd

−0.48**

T50_CO2_OX SOC C/N ratio (soil) HI OIRE6 Clay Sand pHwater CEC MAP MAT C/N ratio (inputs) C/N ratio (humus)

nd nd nd nd

−0.12 −0.43* −0.30 0.17

0.08 0.34 0.37* −0.39*

nd nd nd

0.31 −0.10 0.09

−0.18 −0.11 −0.06

0.25 0.02 0.17

nd nd nd nd nd nd

−0.01 0.27 −0.21 −0.12 0.45* 0.25

−0.03 −0.36* 0.26 0.09 −0.12 −0.07

−0.46** −0.13 −0.34 0.43* −0.20 −0.22

*

0.29* 0.19

n = 31

−0.69*** −0.26 −0.30

0.39* 0.04

C/N ratio (soil)

HI

OIRE6

0.00

−0.29 0.14 −0.30

−0.58*** −0.51** 0.41*

−0.14 0.09 −0.06

0.38* −0.29

−0.86***

0.39* 0.04 0.60*** −0.43* −0.01 0.13

−0.12 −0.36* 0.46** −0.27 −0.08 0.02

0.22 0.30 0.05 0.13 −0.21 0.04

−0.18 0.21 −0.11 0.29 0.13 0.14

0.36* 0.72*** −0.30 0.27 −0.09 0.27